; Date: Mon, 22 Aug 2011 22:11:44 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 22-08-11 (The All-Seeing Eye [8]) ; Id: <1.5.4.16.20110822221206.1497a506@pop.earthlink.net> ; --------- ; ; FOTD -- August 22, 2011 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image is named "The All-Seeing Eye". But there is ; nothing all-seeing about it. The image is simply a picture of a ; minibrot in the parent fractal that results when the formula ; Z^(2.2)+C is iterated 2.2 levels up the logarithmic hyperladder ; with the probably erroneous reciprocal function applied. ; ; This parent is another of those rotated and scrambled Mandeloids ; that appears to be suffering from the effects of the second law ; of thermodynamics. Its entropy is starting to increase, and ; this increase will continue until nothing but a screen filled ; with infinitely divided, flat gray fractal sand remains. (It's ; too bad that entropy so rarely decreases. If it did, fractals ; would spontaneously appear out of nowhere.) ; ; The scene of today's action is located in a branch of what ; appears to be a degenerate Seahorse Valley. I say it appears to ; be a Seahorse Valley because even though it encloses a period-2 ; bud, in its depths it looks nothing at all like the valley we ; know so well. ; ; The terraced effect was achieved by rendering the scene with the ; 'tdis' option in effect, which colors the points according to ; how far they have traveled when they finally escape. ; ; The rating of an 8 is deserved, since I did put at least a ; little extra effort into the coloring. The calculation time of ; 2-3/4 minutes is true when the image is rendered with the passes ; set to 'b'. With this particular image, passes=b is the fastest. ; ; The image may be viewed without the inconvenience of setting up ; and running a parameter file by visiting the FOTD web site at: ; ; ; ; The image is available in high definition at: ; ; ; ; The 14-1/2-year-old original FOTD web site may be accessed at: ; ; ; ; The weather today was ideal here at Fractal Central, with ; kodachrome blue skies decorated with cottonpuff cumulus clouds ; and a temperature of 77F 25C. The fractal cats, who are of very ; low entropy, spent the day playing with their catnip toys and ; sleeping. The humans, of equally low entropy, spent the day ; doing things that are more human, such as work. The next FOTD ; will be posted in 24 hours. Until then, take care, and would ; all the Boltzmann brains please raise their hands. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= The_All-Seeing_Eye { ; time=0:02:48.90-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=mandelbrotbc3 function=recip passes=b center-mag=-0.0263040944212104/-0.7577543124938957\ /2.16623e+012 params=2.2/0/2.2/0 float=y inside=255 maxiter=1600 outside=tdis mathtolerance=0.05/1 colors=000lTzjNzjJzgOzfUzf_zhgzgjzcmz`qzXvzVzzTzzV\ zzXwz_szbozdlzgjziizhczfZzh_zi_zj`zk`zl`zmbznbzobz\ pczqczqczsdztdzudztgzsizrjzqlzqnzpozopzlnzimzfmzcm\ z`mzZmzWmzUmzTizSfzRczR`zTczVgzXkz_nzbszdvzgzzjzzl\ zzgzzdvz`qzZmzWizTczR_zNWzMRzKNzILzGIzGGzGKzGQzGWz\ HdzHmzKlzNkzSkzWlz`lzfmzlozrrzsqzuozxnzzlzzlzqepla\ jfZe_V_VSVQPQMMMGGGCCC999777777454152CCCJJJTTThhhy\ yyzzzzzzzxvzvozvjzwdzw`zxWzySzzNzzKzhIyVHqHDm9AV47\ Y6Ba8FdALhDQlFRlHSlIVjK`lPioUpnXkl`mgab__VVVV_aZEv\ oFwiHycIz_zzdzzXxzQrzLivIbmFWfCQY9KS7GM5BF37A13500\ 203524954C85GC5KGBPLIVSQ_YYdhgjtppzsvzjqzapwUlkNeg\ NcWLdVLYRKQNJJLJCJFTDDS9CP6BN4AM2BN4BN5BN7CN9DNCFN\ FFNGFMFEKEEmEDmEEmEEmEDmDCmCDmDcczcczdczdczdczecze\ czeczfczfczfczgczgczgczgczcjz`fz_czZ`zWYzVVzTTzQPz\ OMzNKzLIzJGzIFzTKzcSzp`zzlzwfzr`znXziTzcOz_MzVIzQG\ zNFzWHzfKzdLzdMzcMzbMzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|